Positive Semidefinite Zero Forcing and Applications (12rit167)


(Virginia Commonwealth University)

Brian Lins (Hampden-Sydney College)

Lon Mitchell (American Mathematical Society)

(University College London)


The Banff International Research Station will host the "Positive Semidefinite Zero Forcing and Applications" workshop from September 23rd to September 30th, 2012.

Mathematical structures consisting of nodes and connections between them, called graphs, can be used to model real-world networks and situations, such as the spread of a disease over time. Graph infection, also called zero forcing because of its algebraic properties, is such a model that also has connections to quantum physics. This Research in Teams seeks to better understand zero forcing for a particular type of network that all graphs can be related to. Results will give more information about general graph infection and help provide answers to related questions in linear algebra and the control of quantum systems.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).